Continuous Optimization Approaches to the Identification of Piecewise Affine Systems
Abstract
Approaches for the identification of piecewise affine systems are presented. The identification problem for piecewise affine systems is formulated as a smooth constrained, and a nonsmooth unconstrained optimization problem. The main advantage of the new problem formulations is the fact that no mixed integer problems have to be solved within this method. The feasibility and performance of the procedures are demonstrated by identifying two piecewise affine characteristic maps.
